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导数的几何意义伴随着导数进入高中数学教材后,给函数图象及性质的研究开辟了一条新的途径.特别是应用导数的几何意义这一新工具,为分析和解决问题提供了新的视角、新的方法,与传统的方法相比,简洁明快,具有明显优势.导数的几何意义内容与函数、数列、解析几何等结合起来,问题的设计便更加广阔.近几年高考题及各省市的质检题中出了不少精彩的题目,举例探讨.
The geometric meaning of derivatives leads to a new way to study the image and properties of functions with the derivative into the high school math textbooks.Especially the new tool of applying the geometric meaning of derivatives provides a new perspective for analyzing and solving problems , The new method, compared with the traditional method, is simple and neat, and has obvious advantages. The geometric meaning of the derivative is combined with the function, the number of columns, the analytic geometry, etc., and the problem is more extensively designed. The quality of the questions in a lot of wonderful topics, for example.